A new auditorium is begging built for a college the balcony has 200 seats the floor has 25 rows with x seats in each row the number of people in the auditorium must be under 750 to meet safety regulations what is the solution of this inequality and what is it's meaning

Answers

Answer 1

Question:

A new auditorium is being built for a college. The balcony has 200 seats. The floor has 25 rows with x seats in each row. The number of people in the auditorium must be under 750 to meet safety regulations. What is the solution of this inequality, and what is its meaning?

Answer:

[tex]200 + 25x < 750[/tex]

Number of seats in a row must be less than 22

Step-by-step explanation:

Given

Total = Less than 750

Current Seats = 200

Rows = 25

Seat per row = x

Required

Represent as an inequality

The scenario will be represented as:

[tex]Current\ Seats + Rows * x = Total[/tex]

Substitute 200 for Current Seats

[tex]200 + Rows * x = Total[/tex]

Substitute 25 for Rows

[tex]200 + 25* x = Total[/tex]

[tex]200 + 25x = Total[/tex]

Substitute <750 for Total.

The equation then becomes

[tex]200 + 25x < 750[/tex]

Solving further:

[tex]25x < 750 - 200[/tex]

[tex]25x < 550[/tex]

[tex]x < \frac{550}{25}[/tex]

[tex]x < 22[/tex]

This means that:

Number of seats in a row must be less than 22

Related Questions

A store has a sale for 20 % off. You decide to buy a $15 t-shirt. A) How much money will you save? B) How much money will you spend on the t-shirt?

Answers

Answer:

you will save 3 dollars and spend 12 on the shirt

Step-by-step explanation:

20 percent of 15 is 3 dollars. subtract the 3 from 15$ to get your discounted price.

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